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Beliebt Algebra >

2x^3+x^2+18x+9=0

Lösung

2 x^{3} + x^{2} + 18 x + 9 = 0

Lösung

x = - \frac{1}{2}, x = 3 i, x = - 3 i

Schritte zur Lösung

2 x^{3} + x^{2} + 18 x + 9 = 0

Faktorisiere

2 x^{3} + x^{2} + 18 x + 9 : (2 x + 1) (x^{2} + 9)

(2 x + 1) (x^{2} + 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or x^{2} + 9 = 0

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

Die Lösungen sind

x = - \frac{1}{2}, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

64a^6-112a^4+56a^2-7=0

64 a^{6} - 112 a^{4} + 56 a^{2} - 7 = 0

4x^2+8x^4=(x^2+2x+1)

4 x^{2} + 8 x^{4} = (x^{2} + 2 x + 1)

(1 - m)^{3} = \frac{1}{3}

x^1+2x^2+x^3=-1

x^{1} + 2 x^{2} + x^{3} = - 1

4x^3-54x^2+180x-125=0

4 x^{3} - 54 x^{2} + 180 x - 125 = 0